I use the Lee neck sizing collet dies too when ever I can. I could not get one for the 221 Fireball. I even tried to custom order one for it and they said they could not make one that short and sent back my money. They make a 22 Hornet (I have one) and it is the same length as the 221 FireBall go figure.
Anyway, I bought a neck sizing die for mine, the kind that you can change the dies in. You just have to find the right size that will work on your particular brass/bullet combination. They usually recommend to buy a sizing die that is .002 or .003 thousands under the loaded size of your brass with a bullet seated. They also sell "neck sizer" dies, these are set in diameter and if they work for your application then great, but if they are not the right size, they are useless. Of course the poor mans neck sizer is the full length die backed off and set as described very well above. This works OK in some applications, but does not keep your neck in line with the case body and in some cases will still size the shoulder a little. The beauty of the Lee collet dies, they keep every thing in alignment and need no lube. I really do like these and think they are superior to any other type used.